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TMF, 1985, Volume 65, Number 3, Pages 360–367 (Mi tmf5143)  

This article is cited in 9 scientific papers (total in 9 papers)

Infrared behavior of the gluon propagator in Yang–Mills theory

K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze


Abstract: The Dyson–Schwinger equation in a lightlike gauge and the Slavnov–Taylor identities are used to investigate the possible realization of a power-law infrared asymptotic behavior of the type $(p^{-2})^{\alpha+1}$ for the gluon propagator. Such behavior is shown to becompatible with the equation only for $\alpha=1$. By a suitable choice of the transverse part of the three-gluon vertex function, the Dyson–Schwinger equation is solved in the infrared region. The solution corresponds to a combination of a linearly increasing potential and a Coulomb potential.

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English version:
Theoretical and Mathematical Physics, 1985, 65:3, 1213–1218

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Received: 25.10.1984

Citation: K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze, “Infrared behavior of the gluon propagator in Yang–Mills theory”, TMF, 65:3 (1985), 360–367; Theoret. and Math. Phys., 65:3 (1985), 1213–1218

Citation in format AMSBIB
\Bibitem{NatKheKhm85}
\by K.~R.~Natroshvili, A.~A.~Khelashvili, V.~Yu.~Khmaladze
\paper Infrared behavior of the gluon propagator in Yang--Mills theory
\jour TMF
\yr 1985
\vol 65
\issue 3
\pages 360--367
\mathnet{http://mi.mathnet.ru/tmf5143}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 3
\pages 1213--1218
\crossref{https://doi.org/10.1007/BF01036129}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985D277400004}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. L. Nekrasov, V. E. Rochev, “Model of dynamical breaking of chiral symmetry and quark condensate”, Theoret. and Math. Phys., 70:2 (1987), 147–151  mathnet  crossref  isi
    2. A. I. Alekseev, A. S. Vshivtsev, A. V. Tatarintsev, “Classical non-Abelian solutions for nonstandard Lagrangians”, Theoret. and Math. Phys., 77:2 (1988), 1189–1197  mathnet  crossref  isi
    3. B. A. Arbuzov, E. E. Boos, A. I. Davydychev, “Infrared asymptotics of gluon Green's functions in covariant gauge”, Theoret. and Math. Phys., 74:2 (1988), 103–108  mathnet  crossref  isi
    4. L. G. Vachnadze, K. R. Natroshvili, A. A. Khelashvili, V. Yu. Khmaladze, “Total gluon propagator in the light-cone gauge and the problem of the transversality of the polarization operator in the infrared region. I”, Theoret. and Math. Phys., 80:2 (1989), 857–864  mathnet  crossref  isi
    5. A. I. Davydychev, “Equation for the quark propagator in the infrared region and some properties of its solutions”, Theoret. and Math. Phys., 85:1 (1990), 1048–1055  mathnet  crossref  isi
    6. L. G. Vachnadze, N. A. Kiknadze, K. Sh. Turashvili, A. A. Khelashvili, “The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. II”, Theoret. and Math. Phys., 100:1 (1994), 811–818  mathnet  crossref  isi
    7. L. G. Vachnadze, N. A. Kiknadze, A. A. Khelashvili, “Singular power-law infrared asymptotic behavior of the gluon propagator in the covariant gauge”, Theoret. and Math. Phys., 102:1 (1995), 34–39  mathnet  crossref  zmath  isi
    8. A. I. Alekseev, “On infrared behaviour of the gluon propagator”, Theoret. and Math. Phys., 106:2 (1996), 209–219  mathnet  crossref  crossref  zmath  isi
    9. Magradze, BA, “An analytic approach to perturbative QCD”, International Journal of Modern Physics A, 15:17 (2000), 2715  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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